Nuprl Lemma : pv11_p1_CommanderState-functional
∀[Cmd:ValueAllType]. ∀[accpts:bag(Id)]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)]. ∀[es:EO+(Message(mf))].
∀[x:pv11_p1_Ballot_Num()]. ∀[zzs:ℤ].
pv11_p1_CommanderState(Cmd;accpts;mf) x zzs is functional
Proof
Definitions occuring in Statement :
pv11_p1_CommanderState: pv11_p1_CommanderState(Cmd;accpts;mf),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Message: Message(f),
es-functional-class: X is functional,
event-ordering+: EO+(Info),
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
apply: f a,
int: ℤ,
bag: bag(T)
Lemmas :
sq_stable__and,
equal_wf,
cons_wf_listp,
nil_wf,
listp_wf,
vatype_wf,
cons_wf,
list_wf,
equal-wf-T-base,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
pv11_p1_headers_wf,
l_all_iff,
l_member_wf,
pv11_p1_headers_fun_wf,
cons_member,
equal-wf-base,
iff_weakening_equal,
loop-class-state-functional,
Message_wf,
bag_wf,
single-bag_wf,
eclass1_wf,
pv11_p1_p2b'base_wf,
pv11_p1_on_p2b_wf,
bag_size_single_lemma,
false_wf,
eclass1-single-val,
base-headers-msg-val-single-val,
subtype_rel_weakening,
ext-eq_weakening,
single-valued-bag-single,
classrel_wf,
pv11_p1_CommanderState_wf,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
bag-size_wf,
class-ap_wf,
nat_wf,
pv11_p1_Ballot_Num_wf,
event-ordering+_wf,
subtype_rel_dep_function,
pv11_p1_headers_type_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[accpts:bag(Id)]. \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
\mforall{}[es:EO+(Message(mf))]. \mforall{}[x:pv11\_p1\_Ballot\_Num()]. \mforall{}[zzs:\mBbbZ{}].
pv11\_p1\_CommanderState(Cmd;accpts;mf) x zzs is functional
Date html generated:
2015_07_23-PM-04_13_28
Last ObjectModification:
2015_02_04-AM-07_23_08
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